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Finding the Third Proportional to 3,729,549,072,598 and 8,115,825,533,971

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Solution

The third proportional to 3,729,549,072,598 and 8,115,825,533,971 is: 17,660,747,402,895.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729,549,072,598 : 8,115,825,533,971 = 8,115,825,533,971 : x
  2. Step 2: Convert to fraction form
    3,729,549,072,598/8,115,825,533,971 = 8,115,825,533,971/x
  3. Step 3: Cross multiply
    3,729,549,072,598x = 8,115,825,533,971 × 8,115,825,533,971
  4. Step 4: Simplify right side
    3,729,549,072,598x = 65,866,624,097,855,663,027,257,344
  5. Step 5: Solve for x
    x = 65,866,624,097,855,663,027,257,344/3,729,549,072,598
  6. Step 6: Final answer
    x = 17,660,747,402,895.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.